Geodesic
Algebraic $K$-theory of the first Morava $K$-theory
Journal of the European Mathematical Society, Tome 14 (2012) no. 4, pp. 1041-1079.

Voir la notice de l'article provenant de la source EMS Press

For a prime p≥5, we compute the algebraic K-theory modulo p and v1​ of the mod p Adams summand, using topological cyclic homology. On the way, we evaluate its modulo p and v1​ topological Hochschild homology. Using a localization sequence, we also compute the K-theory modulo p and v1​ of the first Morava K-theory.
DOI : 10.4171/jems/326
Classification : 19-XX, 55-XX, 00-XX
Keywords: Algebraic K-theory, Morava K-theory, topological cyclic homology, topological Hochschild homology 
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     author = {Christian Ausoni and John Rognes},
     title = {Algebraic $K$-theory of the first {Morava} $K$-theory},
     journal = {Journal of the European Mathematical Society},
     pages = {1041--1079},
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Christian Ausoni; John Rognes. Algebraic $K$-theory of the first Morava $K$-theory. Journal of the European Mathematical Society, Tome 14 (2012) no. 4, pp. 1041-1079. doi : 10.4171/jems/326. http://geodesic.mathdoc.fr/articles/10.4171/jems/326/

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